Table 4.
Parameter estimates and 95% confidence intervals via bootstrap for fitting the branching process model (2.10) and the Cyton model to real data. The lower bound for some highly-skewed parameters in the Cyton model are not available.
Model | Parameter | CD4 PHA | CD8 PHA | |||||
---|---|---|---|---|---|---|---|---|
symbol | unit | est. | lower bound | upper bound | est. | lower bound | upper bound | |
Branching Process Model (2.10) | N(1)(0) | cells | 7.99 × 105 | 1.10 × 105 | 8.57 × 105 | 8.63 × 105 | 6.86 × 104 | 9.09 × 105 |
N(3)(0) | cells | 9.17 × 104 | 5.12 × 104 | 4.62 × 105 | 7.92 × 104 | 4.24 × 104 | 8.96 × 105 | |
p3 | % | 31.3 | 0 | 71.2 | 19.6 | 0 | 88.2 | |
μa+p0 | hours | 41.7 | 24.3 | 151 | 24.4 | 24.0 | 102 | |
va+p0 | hours2 | 52.8 | 5.15 × 10−4 | 6.38 × 103 | 0.246 | 0 | 1.77 × 103 | |
μp | hours | 19.3 | 4.73 | 70.7 | 15.1 | 11.3 | 29.9 | |
vp | hours2 | 19.2 | 0 | 7.74 × 103 | 0.839 | 0 | 485 | |
μa+d0 | hours | 25.5 | 0.78 | 76.4 | 34.1 | 20.0 | 299 | |
va+d0 | hours2 | 3.52 × 103 | 1.51 × 10−3 | 1.00 × 105 | 5.26 × 103 | 0.39 | 1.00 × 105 | |
μd | hours | 74.7 | 15.0 | 3.87 × 103 | 88.3 | 6.26 | 358 | |
vd | hours2 | 689 | 0 | 5.41 × 104 | 638 | 0 | 1.50 × 103 | |
| ||||||||
Cyton Model | N(0) | cells | 6.75 × 105 | 2.09 × 105 | 9.26 × 105 | 7.95 × 105 | 2.68 × 105 | 1.69 × 106 |
f0 | % | 73.9 | 17.2 | 100 | 60.9 | 18.7 | 100 | |
fn | % | 61.6 | - | 100 | 78.0 | 40.0 | 100 | |
μa+p0 | hours | 48.6 | 33.6 | 145 | 29.0 | - | 131 | |
va+p0 | hours2 | 77.5 | 0.05 | 5.73 × 103 | 1.97 | 0.39 | 4.63 × 103 | |
μp | hours | 18.8 | 10.6 | 42.1 | 16.0 | 9.92 | 22.2 | |
vp | hours2 | 17.3 | 3.38 | 996 | 4.60 | 2.11 | 90.2 | |
μa+d0 | hours | 36.4 | 21.7 | 440 | 52.0 | 23.6 | 464 | |
va+d0 | hours2 | 1.23 × 103 | 14.0 | 1.03 × 105 | 4.01 × 103 | 6.78 | 1.56 × 105 | |
μd | hours | 80.9 | 24.6 | 8.71 × 103 | 47.3 | 21.0 | 9.00 × 103 | |
vd | hours2 | 702 | 0.48 | 1.87 × 105 | 105 | 9.54 | 1.85 × 105 |